Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas

We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. have found that of can be exactly mapped to a dissipationless under negative external harmonic potential, even when particles are strongly interacting. In particular, we show mapping is valid for unitary Fermi gas, which relevant cold atoms and nuclear matters.